Finite Group Databasebeta

← Group #279608

Character table — Group #279608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488882244488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1
χ91111111111111111-1-1-1-111-1-111111111-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-11
χ101111111111111111-1-1-1-111-1-111111111-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-111-1-1-1-11-1
χ17222222222-2-222-22-222-2-2-2-222000022-2-2-20000000000000000002-2000000000000
χ18222222222-2-222-22-222-2-2-2-2220000-2-222-2000000000000000000-22000000000000
χ19222222222-2-222-22-2-2-222-2-2-2-2000022-2-22000000000000000000-22000000000000
χ20222222222-2-222-22-2-2-222-2-2-2-20000-2-22220000000000000000002-2000000000000
χ2122222222-222-2-22-222222-2-2-2-222220000-2-2-2-2-20000000022000000000000000000
χ2222222222-222-2-22-222222-2-2-2-2-2-2-2-20000-2222200000000-2-2000000000000000000
χ2322222222-222-2-22-22-2-2-2-2-2-222222200002-2-22200000000-2-2000000000000000000
χ2422222222-222-2-22-22-2-2-2-2-2-222-2-2-2-20000222-2-20000000022000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-2000000002000000000000002i2i−2i−2i00000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-200000000200000000000000−2i−2i2i2i0000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-222222200000000-2000000000000002i2i−2i−2i0000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-222222200000000-200000000000000−2i−2i2i2i00000000002i−2i00
χ29222-2-22-2-22222-2-2-2-200002-20000002-22-20000022-2-20000000000002-20000000000
χ30222-2-22-2-22222-2-2-2-200002-20000002-22-200000-2-222000000000000-220000000000
χ31222-2-22-2-22222-2-2-2-200002-2000000-22-220000022-2-2000000000000-220000000000
χ32222-2-22-2-22222-2-2-2-200002-2000000-22-2200000-2-2220000000000002-20000000000
χ33222-2-22-2-22-2-22-22-220000-220000002-2-220000000002i2i−2i−2i00000000002i−2i00000000
χ34222-2-22-2-22-2-22-22-220000-220000002-2-22000000000−2i−2i2i2i0000000000−2i2i00000000
χ35222-2-22-2-22-2-22-22-220000-22000000-222-20000000002i2i−2i−2i0000000000−2i2i00000000
χ36222-2-22-2-22-2-22-22-220000-22000000-222-2000000000−2i−2i2i2i00000000002i−2i00000000
χ372-2222-2-2-202-200-2022-22-2000022-2-2000000000i2−i2i2−i2i2−i2i2−i22-20000000000i2−i2i2−i20000
χ382-2222-2-2-202-200-2022-22-2000022-2-2000000000−i2i2−i2i2−i2i2−i2i22-20000000000−i2i2−i2i20000
χ392-2222-2-2-202-200-2022-22-20000-2-222000000000i2−i2i2−i2i2−i2i2−i2-220000000000−i2i2−i2i20000
χ402-2222-2-2-202-200-2022-22-20000-2-222000000000−i2i2−i2i2−i2i2−i2i2-220000000000i2−i2i2−i20000
χ412-2222-2-2-202-200-202-22-22000022-2-2000000000i2−i2i2−i2−i2i2−i2i2-220000000000i2−i2−i2i20000
χ422-2222-2-2-202-200-202-22-22000022-2-2000000000−i2i2−i2i2i2−i2i2−i2-220000000000−i2i2i2−i20000
χ432-2222-2-2-202-200-202-22-220000-2-222000000000i2−i2i2−i2−i2i2−i2i22-20000000000−i2i2i2−i20000
χ442-2222-2-2-202-200-202-22-220000-2-222000000000−i2i2−i2i2i2−i2i2−i22-20000000000i2−i2−i2i20000
χ45444-4-44-4-4-444-44-44-40000-440000000000000000000000000000000000000000000
χ46444-4-44-4-4-4-4-4-4444400004-40000000000000000000000000000000000000000000
χ4744-44-4-44-4400-440-40000000000000000000000000000000022−2222−2200000000000000
χ4844-44-4-44-4400-440-400000000000000000000000000000000−2222−222200000000000000
χ4944-44-4-44-4-4004-404000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5044-44-4-44-4-4004-40400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ5144-4-44-4-44400-4-4040000000002i2−2i22i2−2i2000002i2−2i2000000000000000000000000000000
χ5244-4-44-4-44400-4-404000000000−2i22i2−2i22i200000−2i22i2000000000000000000000000000000
χ5344-4-44-4-44-400440-40000000002i2−2i22i2−2i200000−2i22i2000000000000000000000000000000
χ5444-4-44-4-44-400440-4000000000−2i22i2−2i22i2000002i2−2i2000000000000000000000000000000
χ554-4444-4-4-40-440040-44-4-44000000000000000000000000000000000000000000000
χ564-4444-4-4-40-440040-4-444-4000000000000000000000000000000000000000000000
χ574-44-4-4-44404-40040-40000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ584-44-4-4-44404-40040-4000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ594-44-4-4-4440-4400-404000000000000000000000000022−22−222200000000000000000000
χ604-44-4-4-4440-4400-4040000000000000000000000000−222222−2200000000000000000000
χ614-4-4-4444-4000000000000004i−4i2i2−2i2−2i22i2000000022−220000000000000000000000000000
χ624-4-4-4444-4000000000000004i−4i−2i22i22i2−2i20000000−22220000000000000000000000000000
χ634-4-4-4444-400000000000000−4i4i2i2−2i2−2i22i20000000−22220000000000000000000000000000
χ644-4-4-4444-400000000000000−4i4i−2i22i22i2−2i2000000022−220000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).